Lusternik-Schnirelmann-categorical sections

Octavian Cornea

Annales scientifiques de l'École Normale Supérieure (1995)

  • Volume: 28, Issue: 6, page 689-704
  • ISSN: 0012-9593

How to cite

top

Cornea, Octavian. "Lusternik-Schnirelmann-categorical sections." Annales scientifiques de l'École Normale Supérieure 28.6 (1995): 689-704. <http://eudml.org/doc/82399>.

@article{Cornea1995,
author = {Cornea, Octavian},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Lyusternik-Shnirel'man category; localizations; Ganea spaces},
language = {eng},
number = {6},
pages = {689-704},
publisher = {Elsevier},
title = {Lusternik-Schnirelmann-categorical sections},
url = {http://eudml.org/doc/82399},
volume = {28},
year = {1995},
}

TY - JOUR
AU - Cornea, Octavian
TI - Lusternik-Schnirelmann-categorical sections
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1995
PB - Elsevier
VL - 28
IS - 6
SP - 689
EP - 704
LA - eng
KW - Lyusternik-Shnirel'man category; localizations; Ganea spaces
UR - http://eudml.org/doc/82399
ER -

References

top
  1. [1] I. BERSTEIN and P. J. HILTON, Category and generalized Hopf invariants (Illinois J. Math., Vol. 4, 1960, pp. 437-451). Zbl0113.38301MR23 #A3572
  2. [2] A. K. BOUSFIELD and D. M. KAN, Homotopy Limits, Completions and Localizations (Lecture Notes in Math., Vol. 304, 1972, Springer). Zbl0259.55004MR51 #1825
  3. [3] O. CORNEA, Cone-length and Lusternik Schnirelmann category (Topology, Vol. 33, 1994, pp. 95-111). Zbl0811.55004MR95d:55008
  4. [4] O. CORNEA, There is just one rational cone-length (To appear in Trans. of the A.M.S.). Zbl0813.55003
  5. [5] O. CORNEA, Strong L.S.-category equals cone-length (To appear in Topology). Zbl0833.55004
  6. [6] T. GANEA, Lusternik-Schnirelmann category and strong category (Ill. J. of Math., Vol. 11, 1967, pp. 417-427). Zbl0149.40703MR37 #4814
  7. [7] K. A. HARDIE, On the category of the double mapping cylinder (Tohoku Math. J, Vol. 25, 1973, pp. 355-358). Zbl0241.55015MR51 #6785
  8. [8] J. R. HARPER, A proof of Gray's Conjecture and Co-H-Maps to Spheres (Preprint Univ. of Rochester 1989). 
  9. [9] I. M. JAMES, On category in the sense of Lusternik and Schnirelmann (Topology, Vol. 17, 1978, pp. 331-348). Zbl0408.55008MR80i:55001
  10. [10] M. MATHER, Pull-backs in Homotopy Theory (Can. J. Math., Vol. 28, 1976, pp. 225-263). Zbl0351.55005MR53 #6510
  11. [11] C. A. MCGIBBON, The Mislin genus of a space (To appear in Proc. Hilton 70-th birthday conf., Montreal 93). Zbl0820.55007
  12. [12] J. W. MILNOR, Construction of universal bundles II (Ann. of Math., Vol. 63, 1956, pp. 430-436). Zbl0071.17401MR17,1120a
  13. [13] G. MISLIN, The genus of an H-space (Springer Lecture Notes in Math., Vol. 249, 1971, pp. 75-83). Zbl0232.55018MR49 #3912
  14. [14] F. TAKENS, The Lusternik-Schnirelmann categories of a product space (Comp. Math., Vol. 22, 1970, pp. 175-180). Zbl0198.28302MR44 #7549

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.